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Yes, this will not be applied based on your directory permissions. You must add the permissions to /etc/fstab or append your permissions after mounting your file systems. On the other hand, please note the above cannot be applied to non unix file systems like ntfs and fat/32

If you change the permission on the mount point and then mount the filesystem on top of the mount point.
The permission will not inherit. You will need to do the "chmod" again after the filesystem is mounted.
The permission you changed was on a different inode.